Recurrence relations for orthogonal polynomials on triangular domains

DOI10.3390/math4020025zbMath1360.65081OpenAlexW2339095077MaRDI QIDQ515427

Abedallah Rababah

Publication date: 16 March 2017

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math4020025

zbMATH Keywords

algorithmBernstein polynomialsrecurrence relationLegendre polynomialsbivariate orthogonal polynomialstriangular domains

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Computation of special functions and constants, construction of tables (65D20) Numerical approximation and evaluation of special functions (33F05) Numerical aspects of recurrence relations (65Q30)

Cites Work

• Unnamed Item
• A new class of generalized polynomials associated with Hermite and Euler polynomials
• Generalized and mixed type Gegenbauer polynomials
• Bivariate second-order linear partial differential equations and orthogonal polynomial solutions
• On multivariate approximation by Bernstein-type polynomials
• The genuine Bernstein-Durrmmeyer operator on a simplex
• Distance for degree raising and reduction of triangular Bézier surfaces
• A generalised beta integral and the limit of the Bernstein--Durrmeyer operator with Jacobi weights
• The diagonalisation of the multivariate Bernstein operator
• Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains
• Connections between two-variable Bernstein and Jacobi polynomials on the triangle

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